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Correlation functions in the G/M/1 system

Published online by Cambridge University Press:  01 July 2016

S. K. Srinivasan  and
C. Chudalaimuthu Pillai
S. K. Srinivasan*
Affiliation:
Indian Institute of Technology, Madras
C. Chudalaimuthu Pillai*
Affiliation:
Indian Institute of Technology, Madras
*
∗Postal address: Department of Mathematics, Indian Institute of Technology, Madras-600 036, India.
∗Postal address: Department of Mathematics, Indian Institute of Technology, Madras-600 036, India.
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Abstract

The G/G/1 queueing system is studied by means of the regeneration point method, exploiting the concept of busy cycles. Recurrence relations are set-up for the distribution of the queue length at the arrival epochs. The same method is used to obtain the correlation structure of arrivals and departures for the G/M/1 queue.

Keywords

REGENERATION POINTBUSY CYCLEQUEUE LENGTHPRODUCT DENSITYCORRELATION FUNCTIONPOWER SPECTRUM
Type
Research Article
Information
Advances in Applied Probability , Volume 12 , Issue 2 , June 1980 , pp. 530 - 540
Copyright
Copyright © Applied Probability Trust 1980 

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